# use properties of trapezoids and kites

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Use Properties of Trapezoids and Kites. Chapter 8.5. Trapezoids. Trapezoids are quadrilaterals that have 2 parallel sides The parallel sides are called the bases. A trapezoid has 1 pair of base angles. The non-parallel sides are called the legs. base. Leg. Leg. base. Is it a trapezoid?. - PowerPoint PPT Presentation

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• Use Properties of Trapezoids and KitesChapter 8.5

• TrapezoidsTrapezoids are quadrilaterals that have 2 parallel sidesThe parallel sides are called the bases.A trapezoid has 1 pair of base angles.The non-parallel sides are called the legs.

basebaseLegLeg

• Is it a trapezoid?Are the bases parallel?Find the slope of each base.If the slopes are the same, then it is a trapezoid.

• Isosceles TrapezoidsIsosceles triangles have 2 congruent sides with 2 pairs of congruent angles.

The diagonals of an isosceles trapezoid are also congruent.

• If it is Isosceles find the missing angles.It is isosceles!Because it is an isosceles trapezoid, the base angles are congruent.Therefore m
• Find the missing angles if it is an Isosceles Trapezoid.978383

• MidsegmentsA midsegment is a segment that connects 2 midpoints.

The midsegment of a trapezoid connects the midpoints of the legs.

• Find the length of the midsegment

• Things always have to be more difficult

• Find x52.54510x + 15

• Page 546, #3 15, 25 - 27

• KitesA kite is a quadrilateral with 2 pairs of congruent sides, but the opposite sides are not congruent.

• DiagonalsIf the diagonals of a kite are perpendicular, then what shape is created by the diagonals?If we are given these side lengths, can we find the missing sides XY, WX, YZ , and WZ?

• Find XY, ZY, WX, and WZ65213

• Find XY, YZ, WZ, and WX55461

• The figure below is a kite, find the missing anglesWhat is the sum of the interior angles of a kite?360100 + 40 + m E + m G = 360140 + m E + m G = 360m E + m G = 220What do we know about the measures of the angles E and G?They are congruent!

• Find the missing angles60 + 110 + 110 + m G = 360What do we know about the measures of the angles F and H?They are congruent!110280 + m G = 360m G = 8080

• Find the missing angles150 + 90 + m F + m G = 360240 + m F + m G = 360m F + m G = 120m F = m G